Answer:
250
Step-by-step explanation:
1 year= 2% of 500 (10)
25 years= 25*10
250
Hope this helps!
The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building.
Combined, there are 199 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the
number of bathrooms and fireplaces by 68. The difference between the number of fireplaces and elevators is
23. If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47. Determin
the number of rooms, bathrooms, fireplaces, and elevators in the building.
Using a system of equations, it is found that there are:
132 rooms.38 bathrooms.26 fireplaces.3 elevators.For the system, we have that:
The number of rooms is x.The number of bathrooms is y.The number of fireplaces is z.The number of elevators is w.Combined, there are 199 rooms, hence:
[tex]x + y + z + w = 199[/tex]
The number of rooms exceeds the number of bathrooms and fireplaces by 68, hence:
[tex]x = y + z + 68[/tex]
The difference between the number of fireplaces and elevators is 23, hence:
[tex]z - w = 23[/tex]
If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:
[tex]2y = z + w + 47[/tex]
Replacing the third equation into the fourth:
[tex]z = 23 + w[/tex]
[tex]2y = z + w + 47[/tex]
[tex]2y = 23 + w + w + 47[/tex]
[tex]2y = 2w + 70[/tex]
[tex]y = w + 35[/tex]
Then, from the second equation:
[tex]x = y + z + 68[/tex]
[tex]y + z = x - 68[/tex]
We can solve for w, considering that:
[tex]y = w + 35[/tex]
[tex]z = 23 + w[/tex]
[tex]y + z = x - 68[/tex]
[tex]x = y + z + 68[/tex]
[tex]x = w + 35 + w + 23 + 68[/tex]
[tex]x = 2w + 126[/tex]
[tex]x + y + z + w = 199[/tex]
[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]
[tex]5w + 184 = 199[/tex]
[tex]5w = 15[/tex]
[tex]w = \frac{15}{5}[/tex]
[tex]w = 3[/tex]
Then, solving for the other variables:
[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]
[tex]y = w + 35 = 3 + 35 = 38[/tex]
[tex]z = 23 + w = 23 + 3 = 26[/tex]
There are:
132 rooms.38 bathrooms.26 fireplaces.3 elevators.A similar problem is given at https://brainly.com/question/17096268
Please help mee please plese
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
7 Mathexcellup logo
I answered the question and got it right.
helpppppppppppppppppppppppppppppppppppppppppp
Answer:
The answer is G which is 16.
Step-by-step explanation:
To solve the problem multiply 25/125 times 80.
pls help meeeeeeeeeeeeeeeeeeeeeee
Answer:
wow
Step-by-step explanation:
0.36 in simpliest form with the line over the 6
Answer:
11/30
Step-by-step explanation:
Let x = 0.366666666.....
Then
100x = 36.6666666....
10x = 3.6666666...
subtracting 100x - 10x eliminates the trailing 6s
90x = 33
divide both sides by 90
x = 33/90
reduce
x = 11/30
Question is in Spanish. Please explain you answer :)
Answer:
Every number on the left is multiplied by 8 to equal the number on the right.
Step-by-step explanation:
can someone help me with these 3 pls?
Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
What is the value of y?
Answer:
40°
Step-by-step explanation:
We know that a triangle is equal to 180°
Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)
If we use 40° then 2·(40°) = 80°
and the second angle is 40° + 10° = 50°
if we add all the angles (80° + 50° + 50°) we get 180° which is correct.
On a certain hot summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that day?
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50
Add these equations together
-1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50
.50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?
Answer: Let x = length (in cm) of the decreasing leg at time t seconds
Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: A number is a minimum of 6
Step-by-step explanation:
The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answer:
the answer to your question Is B $5,378
solve pls brainliest
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
Please help I think this is the wrong answer
Answer:
It is! The correct answer is -98/5 or -19.6
Step-by-step explanation:
simplify the ratio 6 : 10 : 22
Answer:
3:5:11
hope this helps u!!
Answer:
3 : 5 : 11
Step-by-step explanation:
6 : 10 : 22
Divide each term by 2
6/2 : 10/2 : 22/2
3 : 5 : 11
Which of these sets of ordered pairs satisfies and expertise equation
Answer:
the answer would be C guys
the shown bellow question answer
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Are of the given figure is ~
[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The area of the compound shape is equal to ~
Area of rectangle + Area of semi - circle
let's find the Area of rectangle ~
[tex]length \times width[/tex][tex]11 \times 4[/tex][tex]44 \: \: {cm}^{2} [/tex]now, let's find the Area of Semicircle ~
[tex] \dfrac{ \pi{r}^{2} }{2} [/tex][tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex][tex]6.28 \: \: c {m}^{2} [/tex]So, Area of the given figure is equal to ~
[tex]44 + 6.28[/tex][tex]50.28 \: \: cm {}^{2} [/tex]Help please I need help
Answer:
I think it would be A??? idfk man
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
3x+15+2x+20 help pls solve for x
Answer:
[tex]\boxed{\boxed{\sf 5x+35}}[/tex]
Step-by-step explanation:
[tex]\sf 3x+15+2x+20[/tex]
→ Combine like terms:
[tex]\sf 3x+2x+15+20[/tex]
[tex]\sf (3x+2x)\leadsto5x[/tex][tex]\sf (15+20)\leadsto 35[/tex][tex]\sf 5x+35[/tex]____________________________________
Please help meee
Complete each statement. Explain why
it is true.
Answer:
It is true because it is true.
Step-by-step explanation:
Why else would it be false?
4x+y=8
x+2y=5
substutuion method
Answer:
i dont know sry....i ned points..
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9) Number line from negative 8 to positive 8 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the seventh tick mark to the left of 0. Numerical Answers Expected!
Answer:
-7
Step-by-step explanation:
there are 16 increments in total, and half are labeled
so the answer is -7 because if the increments are 1 and it is left of zero, so do 7*-1 because it is to the left
Answer:
-7
Step-by-step explanation:
if f(n) = -6n + 2, find t 5/6
Find the range of the function.
f(x) = -7x2 – 3
-
Answer:
its x: x< -3
Step-by-step explanation:
ya
Find the cosine of angle U
Answer:
1st option
Step-by-step explanation:
cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]
I need help on this question
If you have a line with a Slope of -4 and a y-intercept of -2, what would be the equation of that line?
Question 6 options:
y = -4x + 2
y = -2x - 4
y = -4x - 2
y = -2x + 4
Answer:
y = -4x - 2
Step-by-step explanation:
y = mx + b where
m = slope, and b = y-intercept
slope = -4 = m
y-intercept = -2 = b
y = mx + b
y = -4x - 2
Answer: y = -4x - 2
Given the net of dimensions below find the volume of the shape
Answer:
140cm^3
Step-by-step explanation:
4*5*7 = 140